172304 has 30 divisors (see below), whose sum is σ = 371070. Its totient is φ = 77440.

The previous prime is 172297. The next prime is 172307. The reversal of 172304 is 403271.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 48400 = 352^2 + 220^2 .

It is not an unprimeable number, because it can be changed into a prime (172307) by changing a digit.

172304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1892 + ... + 1980.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

2¹⁷²³⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185535).

172304 is an abundant number, since it is smaller than the sum of its proper divisors (198766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172304 is a wasteful number, since it uses less digits than its factorization.

172304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 172304 is about 415.0951698105. The cubic root of 172304 is about 55.6457226161.

Adding to 172304 its reverse (403271), we get a palindrome (575575).

The spelling of 172304 in words is "one hundred seventy-two thousand, three hundred four", and thus it is an iban number.